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Finding the Fourth Proportional to 21,732.60, 32,601.46 and 7,689.72

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Solution

The fourth proportional to 21,732.60, 32,601.46 and 7,689.72 is: 11,535.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,732.60 : 32,601.46 = 7,689.72 : x
  2. Step 2: Convert to fraction form
    21,732.60/32,601.46 = 7,689.72/x
  3. Step 3: Cross multiply
    21,732.60x = 32,601.46 × 7,689.72
  4. Step 4: Simplify right side
    21,732.60x = 250,696,098.99
  5. Step 5: Solve for x
    x = 250,696,098.99/21,732.60
  6. Step 6: Final answer
    x = 11,535.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.